Answer:
9 / 19
Step-by-step explanation:
Given that:
Number of slots on roulette wheel = 38
Number of red on wheel = 18
Number of black on wheel = 18
Number of green = 2
The probability that ball will land on red slot :
Recall: probability of event (A) = P(A)
P(A) = (number of required outcome / number of total possible outcomes)
Hence,
P(ball lands on red) = (Number of red slots / total number of slots)
P(ball lands on red) = 18 / 38
P(ball lands on red) = 9/ 19
9. Gross Margin equals $50,000, operating expenses equals $23,000, income
taxes equals $5,400 and sales is $110,000. What is the company's net income?
Answer:
$21600
Step-by-step explanation:
Net income is calculated by deducting all company expenses from its total revenue. Net income is given by the formula:
Net income = Revenue - cost of goods sold - operating expenses - tax.
But Gross margin = gross profit = Revenue - cost of goods sold. Hence:
Net income = Gross margin - operating expenses - tax.
Substituting gives:
Net income = $50000 - $23000 - $5400
Net income = $21600
Which point could represent 5/3?
B -3
A -1/2
D 1/2
C 1 1/2
Answer:
(D)
Step-by-step explanation:
is the correct because is 1/2
Answer:
C. 1 1/2
Step-by-step explanation:
if the cost of 1 packet biscuit is Rs.17.50,what is the cost of 8 packets of biscuits?
Please help me asap
Answer:
She walked 1.5 miles, then 0.75 miles. Hence 1.5 + 0.75= 2.25 or 2 and 1/4 a mileWhat is 3/10 as a decimal and as a representation percent? Please answer fast thanks
Answer:
as a decimal 0.3 and the percent is 30%
Answer:
in decimal :0.3 and in percent:3/10/total*100%
Step-by-step explanation:
in decimal: 3/10
=0.3
in percent= 3/10/total*100%
The perimeter of a rectangular construction site is 124 meters. The width is eight meters more than 5 times the length. Find the length and width of the construction site.
Show work
Answer:
The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.
The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.
2 lengths + 2 Widths = 54. Now, it's just a plug and chug.
2(3 + 3W) + 2W = 54.
6 + 6W + 2W = 54
8W = 48
W=6
L = 3 + 3(6) = 21
To double check: 2(21) + 2(6) = 42 + 12 = 54
The Width is 6 meters, and the Length is 21 meters.
If the slope is 3 what does it represent using this table
Answer:
The table represents a linear function.
The graph of linear function y = 3x is attached below.
Step-by-step explanation:
Given the table
Number of Hours 1 3 5
Number of Tents 3 9 15
Given that the slope is 3.
Finding the slope between (1, 3) and (3, 9)
Slope = (y₂-y₁) / (x₂-x₁)
= [9-3] / [3-1]
= 6 / 2
= 3
Finding the slope between (3, 9) and (5, 15)
Slope = (y₂-y₁) / (x₂-x₁)
= [15-9] / [5-3]
= 6 / 2
= 3
As the value of slope remains constant i.e. slope = m = 3.
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 3 and the point (1, 3)
[tex]y - 3 = 3 (x-1)[/tex]
[tex]y-3 = 3x-3[/tex]
[tex]y = 3x-3+3[/tex]
[tex]y = 3x[/tex]
Comparing with the slope-intercept form of a linear function of line
y = mx+b where m is the slope and b is the y-intercept
slope = 3 and y-intercept b = 0
Therefore, the table represents a linear function.
The graph of linear function y = 3x is attached below.
Suppose that 28% of the vehicles in a certain town are trucks. A person standing at an intersection waiting for a friend to pick him up. Let X = the number of trucks observed after 20 cars pass the observer. What is the expected value of X?
Answer:
The expected value is 5.6
Step-by-step explanation:
Here, we want to calculate the expected value of x
Mathematically, that will be the probability multiplied by the number of items
In this case, that will be ;
0.28 (28%) * 20 = 5.6
The probability that a women likes the color blue is 10%. The probability of being a women is 40%.What is the probability that a person likes the color blue given that they are a woman?
Answer:
The probability that a person likes the color blue given that they are a woman=0.25%
Step-by-step explanation:
We are given that
The probability that a women likes the color blue=10%=[tex]\frac{10}{100}=0.1[/tex]
The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]
We have to find the probability that a person likes the color blue given that they are a woman.
We know that
Conditional probability formula
[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]
The probability that a person likes the color blue given that they are a woman
=[tex]\frac{0.1}{0.4}[/tex]
[tex]=\frac{1}{4}=0.25[/tex]
Hence, the probability that a person likes the color blue given that they are a woman=0.25%
Evaluate u+xy for u=17 x=4 and y=8
Allan bought a sweater
for $78 and a shirt for
$29. How much more did
the sweater cost than
the shirt
Answer:
$49
Step-by-step explanation:
78 - 29 = 49
To get 49, I subtracted 29 from 78.
Which of the following statements best describes the relationship between the point (5,-20) and the system of
inequalities below?
Answer: The point (5,-20) only satisfies the second inequality statement in the system of inequalities shown.
Step-by-step explanation:
It isn't super clear exactly what you're asking, but the first thing we can do is see if the point (5, -20) satisfies the system of equations.
So, we start by plugging in -20 for y and 5 for x.
y > -2x-3
-20 > (-2)(5) - 3
-20 > -10-3
-20 > -13. - we can see that the coordinates DO NOT satisfy the first inequality, now we can try the second equation.
y ≤ 3x + 2
-20 ≤ 3(5) + 2
-20 ≤ 15 +2
-20 ≤ 17 - this inequality is true because -20 is indeed less than 17.
The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.
9x^2-36x+16
A.True
B.False
Step-by-step explanation:
9x² - 36x + 16
= (Ax - B)² = A²x² - 2ABx + B².
By Comparing Coefficients, we have:
A² = 9,
2AB = 36,
B² = 16.
It is obvious that A = 3 and B = 4.
However 2AB = 2(3)(4) = 24 which is not equal to 36.
Hence 9x² - 36x + 16 is not a perfect square trinomial.
Answer:
False
Step-by-step explanation:
The polynomial cannot be factored.
A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms). In this study, the explanatory variable is the
A. amount of eroded soil.
B. rate of water flow.
C. depth of the soil bed.
D. size of the soil bed.
E. None of the above.
Answer:
B. rate of water flow.
Step-by-step explanation:
Given that in a research study the explanatory variable is a form of a variable that is independent and it is used by the researcher to make predictions or analyze variations in other variables known as response variables.
Hence, in this case, the Explanatory variable is the "rate of water flow" because it is the variable researcher wishes to utilize in predicting the amount of soil washed away.
Simplify.
(+18)%(-6)
Answer: -3
Step-by-step explanation:
18/6 = 3
18/-6 = -3
2,704 rounded to the nearest thousand
Answer:
3000,
Step-by-step explanation:
5 or above round up, 4 and below keep it the same
solve by substitution 3x +y=13 and 5x-2y=7
Answer:
x=3
y=4
Step-by-step explanation:
I'm using 3x+y=13 to find y, then plug y into the second equation.
y= -3x+13
5x-2(-3x+13)=7
find x.
5x+6x-26=7
11x=33
x=3
now plug x into 3x+y=13(you could do it with the other equation too)
3(3)+y=13
y=13-9
y=4
The value of x and y is 3, and 4 respectively by the substitution method.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of equations;
3x +y=13 ...(1)
5x-2y=7 ...(2)
By using the substitution method.
[tex]\rm 5\cdot \dfrac{13-y}{3}-2y=7[/tex]
y = 4
Plug y = 4 in equation (1)
3x + 4 = 13
x = 3
Thus, the value of x and y is 3, and 4 respectively by the substitution method.
Learn more about the linear equation here:
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I can't figure this out
Please help!!
Answer: y=-1/3x+5
Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!
Find the solution of the system of equations.
7x + 14y = 21
- 2 + 7y = 6
find the unit price if it cost $3 for eight cans of soda. round to the nearest cent.
Answer:
0.40 the actual answer is 3.20 but you said round so
Step-by-step explanation:
Answer:
0.38 is the answer for me
Step-by-step explanation:
A travel agency is advertising a vacation package that includes $250 fora $40a day for hotel. The agency also offers the option of eating breakfast and lunch at the hotel for
$10 a day for the length of the hotel stay.
Answer:
V(d) = 50d + 250 us the answer
The equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that,
A travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
The agency also offers the option of eating breakfast and lunch at the hotel for $10 a day for the length of the hotel stay.
The equation for the function can be framed as follows:
Per day expense = 40 + 10 = 50
Fixed expense = 250
V(d) = 5d + 250
Thus, the equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
Learn more about the function here:
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Grant paid $12 for 4 baseball card packs. How many baseball card packs can he purchase for $21? Group of answer choices
Answer:
Grant can purchase 7 baseball card packs for $21. 12/4=3 and 21/3=7.
Answer: 7
Step-by-step explanation:
Answer:
7 packs
Step-by-step explanation:
12/4 = $3 ea.
21/3 = 7 packs
We are given the discrete-time sinusoidal segment {6.2 cos(0.75 pi n + 1), n = 0, . . . , (N - 1)}. For what values of N will the spectrum computed using the DFT have no spectral leakage?
Answer:
the values of N for which there will be no spectral leakage are;
N = Integers multiple by 8
Step-by-step explanation:
Given that;
discrete-time sinusoidal segment x[n] = 6.2cos(0.75πn + 1)
Using DFT to compute the spectrum
The spectral leakage will not be present in the spectrum if the product f₀Td is an integer.
Here, f₀ is sinusoid's frequency and Td is the segment duration
Now we calculate the period of the signal
2π/ω = 2π/0.75π
ω = 2 / 0.75
( × 4 )
ω = 8 / 3
Here, the numerator value is the period of the signal
T₀ = 8
The spectral leakage will not be present in the spectrum if N is the Integer multiple of period T₀.
Therefore, the values of N for which there will be no spectral leakage are;
N = Integers multiple by 8
A single die is rolled twice. Find the probability of rolling a 2 the first time and a 4 the second time
Explanation:
The probability of rolling a "2" is 1/6
The probability of rolling a "4" is also 1/6
Multiplying those fractions leads to (1/6)*(1/6) = 1/36. We can multiply the probabilities because the events are independent. Each dice roll does not affect any others.
The probability of rolling a 2 the first time and a 4 the second time is 1/36
There are 6 faces on a die.
Of these 6 faces, one of them is 2 and one of them is 4
So, the probabilities of rolling a 2 and a 4 are:
P(2) = 1/6
P(4) = 1/6
The probability of rolling a 2 the first time and a 4 the second time is calculated as follows:
[tex]\mathbf{Pr = P(2) \times P(4)}[/tex]
This gives
[tex]\mathbf{Pr = \frac 16 \times \frac 16}[/tex]
Multiply
[tex]\mathbf{Pr = \frac 1{36}}[/tex]
Hence, the probability of rolling a 2 the first time and a 4 the second time is 1/36
Read more about probabilities at:
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please help me asap
Answer: -18
Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18
Pedro had 17.70 in his wallet he spent 3.25 on a drink . How much does he have left? Estimate the answer by rounding to the nearest whole numbers before subtracting
Answer:
15
Step-by-step explanation:
$17.7 rounded to $18
$3.25 rounded to $3
$18 - $3 = $15
how to do this question pls tell mme
Answer:
x = 35°
y = 55°
Step-by-step explanation:
60° + 50° + 2x = 180° (Sum of angles on a straight line is 180°)
2x = 180° - 110°
x = 70°/2 = 35°
2x + 2y = 180°( Sum of interior angles of a triangle is 180°)
2× 35° + 2y = 180°
70° + 2y = 180°
2y = 180° - 70°
y = 110°/2
y = 55°
is -12•(-8) negative vaule
Answer:
Yes i think its -96,
if thats what your asking
Write an Inequality to represent a graph.
Answer:
nun of the 3 you gave use so the last one the 4th
Step-by-step explanation:
Find the domain and range of the function represented by the graph.